Mappings for Special Functions on Cantor Sets and Special Integral Transforms Via Local Fractional Operators
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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No
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Abstract
The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.
Description
Yang, Xiao-Jun/0000-0003-0009-4599
ORCID
Keywords
Numerical Analysis, Laplace transform, Applied Mathematics, Quadrature Formulas, Fractional Fourier Transform Analysis, Fractional calculus, Pure mathematics, Fourier series, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Derivatives, Special functions, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Fourier transform, Fractional Calculus, Anomalous Diffusion Modeling and Analysis, Mathematics, Fractional derivatives and integrals
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
4
Source
Abstract and Applied Analysis
Volume
2013
Issue
Start Page
1
End Page
6
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Citations
CrossRef : 2
Scopus : 13
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Mendeley Readers : 4
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